Question : Study the given histogram that shows the marks obtained by students in an examination and answer the question that follows.
If the total marks obtained by students are represented as a pie chart, then the central angle of the sector representing maks 200 or more but less than 300, is: (correct to the nearest degree)
Option 1: 128o
Option 2: 154o
Option 3: 68o
Option 4: 88o
Correct Answer: 154 o
Solution : Central angle of pie chart = $\frac{\text{Given frequency}}{\text{Total frequency}} × 360°$ From the histogram, Number of students who scored marks between 200 and 300 = 45 + 60 = 105 ⇒ Total students = 30 + 45 + 60 + 35 + 40 + 35 = 245 ⇒ Required central angle = $\frac{105}{245} × 360°$ = 154° Hence, the correct answer is 154°.
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